The two chords below are equidistant from the center of the circle.
The blue line on the left is perpendicular to the two chords. The radius of the circle is 25. How large is X?
What is the length of either of the chords?

Step 1

Answer

x2+ 72=252
x = 24
Chord =2
× 24 = 48

How Large is the radius of the circle on the left? The chords are equidistant from the center of the circle.

Step 1

Radius

142+482=r2
r=50

Are the two chords in the picture below congruent?
Answer

No, not necessarilly. Although the one chord is bisected we do not kow that the two chords are equidistant from the center.